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3.For dx dy ,(1)sketch the region of integration； (2) switch the order of integration and evaluate the integral.

其他申論題

8. The temperature on the surface of a metal plate is T(x, y) =. The direction of the greatest increase in heat from point (3, 4) is_______； The rate of increase in the direction from point (3, 4) to point (6, 8) is _______.

9. If a curve is given by , where 0≤ t ≤4π and b is a constant, the length of the curve is ________

1. Find the average of the function f(x) = x sin x between x =0 and x=π.

2. The eror functon erf(x) is defined as erf(x)=. Use this formula to find the integral .

4. Evaluate the line integral ，where C. line segment from (1, 1) to (Hint:)

5.Find the area of the region Iying between the inner and outer loops of the limacon r(θ) =1-2sinθ.

(e) Reconfigurable Computing

(d) Multi-core Processor

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